This paper is presents the design and implementation of an energy conversion system based on a single-phase inverter for an application in the context of microgrids. In this context, it was conducted a study, an analysis, an design and the implementation by means of simulations of two novel controllers techniques based on control of two degrees of freedom plus repetitive controller configurations (R2DOF) and PI-P controller plus resonant controller configuration (PI-P + ResC) in droop control scheme that island mode operation of the inverter allowed maintain the characteristics of the voltage signal to be supplied to the load effectively. With these control configurations was maintained the amplitude, waveform and frequency of the voltage signal and attend increases linear and nonlinear load in island mode operation of a single phase inverter. Finally is implemented the above controllers within a droop control schemes were implemented through simulations for the active and reactive power control required by the loads. With these control schemes is achieved that several inverters connected to the microgrid, working to the voltage sources can operate in parallel, without interfering with each other and provide to loads the active and reactive power, dividing the power supplies by each inverter.